Optimal estimation of a signal, observed in a fractional Gaussian noise
Teoriâ veroâtnostej i ee primeneniâ, Tome 60 (2015) no. 1, pp. 163-171 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. V. Artemov; E. V. Burnaev. Optimal estimation of a signal, observed in a fractional Gaussian noise. Teoriâ veroâtnostej i ee primeneniâ, Tome 60 (2015) no. 1, pp. 163-171. http://geodesic.mathdoc.fr/item/TVP_2015_60_1_a8/

[1] Çetin U., Novikov A., Shiryaev A. N., “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Analysis, 32:3 (2013), 288–296 | MR

[2] Genz A., “Numerical computation of multivariate normal probabilities”, J. Comput. Graph. Statist., 1:2 (1992), 141–149

[3] Kleptsyna M. L., Le Breton A., Roubaud M.-C., “Parameter estimation and optimal filtering for fractional type stochastic systems”, Statist. Inference Stochastic Processes, 3:1–2 (2000), 173–182 | DOI | MR | Zbl

[4] Mandelbrot B. B., Van Ness J. W., “Fractional Brownian motions, fraxtional noises and applications”, SIAM Rev., 10:4 (1968), 422–437 | DOI | MR | Zbl

[5] Peskir G., Shiryaev A., Optimal Stopping and Free-Boundary Problems, Lectures in Mathematics. ETH Zürich, Springer, 2006, 502 pp. | MR

[6] Norros I., Valkeila E., Virtamo J., “An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions”, Bernoulli, 5:4 (1999), 571–587 | DOI | MR | Zbl

[7] Kolmogorov A. N., “Spiral Vinera i nekotorye drugie interesnye krivye v gilbertovom prostranstve”, Dokl. AN SSSR, 26 (1940), 115–118 | MR

[8] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov: Nelineinaya filtratsiya i smezhnye voprosy, Nauka, M., 1974, 696 pp.